Hyperbola

Let a > 0, b > 0. Let e and l respectively be the eccentricity and length of the latus rectum of the hyperbola \({{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1\). Let e' and l' respectively be the eccentricity and length of the latus rectum of its conjugate hyperbola. If \({e^2} = {{11} \over {14}}l\) and \({\left( {e'} \right)^2} = {{11} \over 8}l'\), then the value of \(77a + 44b\) is equal to :